OCR MEI FP1 2013 January — Question 4

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJanuary
TopicInequalities
4
  1. Show that \(x ^ { 2 } - x + 2 > 0\) for all real \(x\).
  2. Solve the inequality \(\frac { 2 x } { x ^ { 2 } - x + 2 } > x\).
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